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Finding the Fourth Proportional to 2,985.84, 4,512.60 and 2,953.02

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Solution

The fourth proportional to 2,985.84, 4,512.60 and 2,953.02 is: 4,463.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,985.84 : 4,512.60 = 2,953.02 : x
  2. Step 2: Convert to fraction form
    2,985.84/4,512.60 = 2,953.02/x
  3. Step 3: Cross multiply
    2,985.84x = 4,512.60 × 2,953.02
  4. Step 4: Simplify right side
    2,985.84x = 13,325,798.05
  5. Step 5: Solve for x
    x = 13,325,798.05/2,985.84
  6. Step 6: Final answer
    x = 4,463.00

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.